324/117 as a Decimal and Mixed Number

324/117 as a decimal and mixed number expansion provides the detailed information about what is 324/117 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/117 as a Decimal
324/117 = 2.7692
Hence,
324/117 as a decimal equals to 2.7692
where,
324/117 is a given fraction,
The decimal expansion of 324/117 is 2.7692

324/117 as a Mixed Number
324/117 = (234 + 90)/117
= 234/117 + 90/117
= 2 + 90/117
= 2 90/117
324/117 = 2 90/117

Hence,
324/117 as a mixed number is 2 ⁹⁰/₁₁₇
where,
324/117 is a given fraction,
2 ⁹⁰/₁₁₇ is the mixed number representation of 324/117.

The below work with steps provide the detailed information about how to convert fraction 324/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/117

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/117.

step 2 The numerator is greater than the denominator of the fraction 324/117, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/117
= 234 + 90/117
= (2 x 117) + 90/117

step 3 Make the above expression as individual fractions:
= (2 x 117)/117 + 90/117

step 4 Simplify the above expression:
= 2 x 117/117 + 90/117
= 2 + 90/117
= 2 + 10 x 9/13 x 9
= 2 + 10/13
2 + 10/13 can be written as a mixed number 2 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 2 + 0.7692
= 2.7692
324/117 = 2.7692

Hence,
324/117 as a decimal is 2.7692
324/117 as a mixed number is 2 ¹⁰/₁₃